Abstract:
We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction with respect to the standard schemes for quantum-state tomography which require on the order of d2. By using this technique, we have experimentally reconstructed a large number of states ranging from d=2 up to 14 with mean fidelity values higher than 0.97. For that purpose the qudits were codified in the discretized transverse-momentum position of single photons, once they are sent through an aperture with d slits. We provide an experimental implementation of the method based in a Mach-Zehnder interferometer, which allows one to reduce the number of measurement settings to four since the d slits can be measured simultaneously. Furthermore, it can be adapted to consider the reconstruction of the unknown state from the outcome frequencies of 4d-3 fixed projectors independently of the encoding or the nature of the quantum system, allowing one to implement the reconstruction method in a general experiment. © 2017 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
Autor: | Pears Stefano, Q.; Rebón, L.; Ledesma, S.; Iemmi, C. |
Filiación: | Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Buenos Aires, 1428, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, 1425, Argentina Departamento de Física, IFLP-CONICET, Universidad Nacional de la Plata, C.C. 67, La Plata, 1900, Argentina
|
Palabras clave: | Quantum optics; Quantum theory; 4-D measurements; Arbitrary dimension; Phase shift interferometry; Phase-stepping interferometry; Proof of principles; Quantum state tomography; Reconstruction method; Transverse momenta; Interferometry |
Año: | 2017
|
Volumen: | 96
|
Número: | 6
|
DOI: |
http://dx.doi.org/10.1103/PhysRevA.96.062328 |
Título revista: | Physical Review A
|
Título revista abreviado: | Phys. Rev. A
|
ISSN: | 24699926
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v96_n6_p_PearsStefano |
Referencias:
- Paris, M., Rehacek, J., (2010) Quantum State Estimation, , 1st ed. (Springer, New York)
- James, D.F.V., Kwiat, P.G., Munro, W.J., White, A.G., (2001) Phys. Rev. A, 64, p. 052312
- Thew, R.T., Nemoto, K., White, A.G., Munro, W.J., (2002) Phys. Rev. A, 66, p. 012303
- Wootters, W.K., Fields, B.D., (1989) Ann. Phys., 191, p. 363
- Adamson, R.B.A., Steinberg, A.M., (2010) Phys. Rev. Lett., 105, p. 030406
- Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N., (2002) Phys. Rev. Lett., 88, p. 127902
- Collins, D., Gisin, N., Linden, N., Massar, S., Popescu, S., (2002) Phys. Rev. Lett., 88, p. 040404
- Gröblacher, S., Jennewein, T., Vaziri, A., Weihs, G., Zeilinger, A., (2006) New J. Phys., 8, p. 75
- Dixon, P.B., Howland, G.A., Schneeloch, J., Howell, J.C., (2012) Phys. Rev. Lett., 108, p. 143603
- Lee, H.J., Choi, S.-K., Park, H.S., (2017) Sci. Rep., 7, p. 4302
- Gross, D., Liu, Y.-K., Flammia, S.T., Becker, S., Eisert, J., (2010) Phys. Rev. Lett., 105, p. 150401
- Riofrío, C., Gross, D., Flammia, S., Monz, T., Nigg, D., Blatt, R., Eisert, J., (2017) Nat. Commun., 8, p. 15305
- Flammia, S.T., Silberfarb, A., Caves, C.M., (2005) Found. Phys., 35, p. 1985
- Heinosaari, T., Mazzarella, L., Wolf, M.M., (2013) Commun. Math. Phys., 318, p. 355
- Carmeli, C., Heinosaari, T., Schultz, J., Toigo, A., (2015) Europhys. J. D, 69, p. 179
- Goyeneche, D., Cañas, G., Etcheverry, S., Gómez, E.S., Xavier, G.B., Lima, G., Delgado, A., (2015) Phys. Rev. Lett., 115, p. 090401
- Neves, L., Pádua, S., Saavedra, C., (2004) Phys. Rev. A, 69, p. 042305
- Creath, K., (1988) Prog. Opt., 26, p. 349
- Rebón, L., Iemmi, C., Ledesma, S., (2013) Optik, 124, p. 5548
- Neves, L., Lima, G., Aguirre Gómez, J.G., Monken, C.H., Saavedra, C., Pádua, S., (2005) Phys. Rev. Lett., 94, p. 100501
- Lima, G., Vargas, A., Neves, L., Guzmán, R., Saavedra, C., (2009) Opt. Express, 17, p. 10688
- Krishnaswami, V., Van Noorden, C.J.F., Manders, E.M.M., Hoebe, R.A., (2014) Opt. Nanoscopy, 3, p. 1
- Leach, J., Padgett, M.J., Barnett, S.M., Franke-Arnold, S., Courtial, J., (2002) Phys. Rev. Lett., 88, p. 257901
- Lima, G., Neves, L., Guzmán, R., Gómez, E.S., Nogueira, W.A.T., Delgado, A., Vargas, A., Saavedra, C., (2011) Opt. Express, 19, p. 3542
- Malik, M., Mirhosseini, M., Lavery, M., Leach, J., Padgett, M., Boyd, R., (2014) Nat. Commun., 5, p. 3115
- Solís-Prosser, M.A., Arias, A., Varga, J.J.M., Rebón, L., Ledesma, S., Iemmi, C., Neves, L., (2013) Opt. Lett., 38, p. 4762
- Varga, J.J.M., Rebón, L., Solís-Prosser, M.A., Neves, L., Ledesma, S., Iemmi, (2014) J. Phys. B, 47, p. 225504
- Leach, J., Warburton, R., Murugkar, S., Edgar, M., Padgett, M., Boyd, R., (2011) International Conference on Quantum Information, p. PDPA1. , (OSA Publishing, Washington D.C.)
- Fickler, R., Krenn, M., Lapkiewicz, R., Ramelow, S., Zeilinger, A., (2013) Sci. Rep., 3, p. 1914
- Unternährer, M., Bessire, B., Gasparini, L., Stoppa, D., Stefanov, A., (2016) Opt. Express, 24, p. 28829
- Jozsa, R., (1994) J. Mod. Opt., 41, p. 2315
Citas:
---------- APA ----------
Pears Stefano, Q., Rebón, L., Ledesma, S. & Iemmi, C.
(2017)
. Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry. Physical Review A, 96(6).
http://dx.doi.org/10.1103/PhysRevA.96.062328---------- CHICAGO ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C.
"Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry"
. Physical Review A 96, no. 6
(2017).
http://dx.doi.org/10.1103/PhysRevA.96.062328---------- MLA ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C.
"Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry"
. Physical Review A, vol. 96, no. 6, 2017.
http://dx.doi.org/10.1103/PhysRevA.96.062328---------- VANCOUVER ----------
Pears Stefano, Q., Rebón, L., Ledesma, S., Iemmi, C. Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry. Phys. Rev. A. 2017;96(6).
http://dx.doi.org/10.1103/PhysRevA.96.062328